On the asymptotic stability of stationary lines in the curve shortening problem

Pure and Applied Mathematics Quarterly ◽

10.4310/pamq.2013.v9.n3.a6 ◽

2013 ◽

Vol 9 (3) ◽

pp. 493-506

Author(s):

Xiao-Liu Wang ◽

Wei-Feng Wo

Keyword(s):

Asymptotic Stability ◽

Curve Shortening ◽

Curve Shortening Problem

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Optimal systems and invariant solutions for the curve shortening problem

Communications in Analysis and Geometry ◽

10.4310/cag.2002.v10.n2.a1 ◽

2002 ◽

Vol 10 (2) ◽

pp. 241-274 ◽

Author(s):

Kai-Seng Chou ◽

Guan-Xin Li

Keyword(s):

Invariant Solutions ◽

Curve Shortening ◽

Curve Shortening Problem

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The Curve Shortening Problem

10.1201/9781420035704 ◽

2001 ◽

Author(s):

Kai-Seng Chou ◽

Xi-Ping Zhu

Keyword(s):

Curve Shortening ◽

Curve Shortening Problem

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2π-periodic self-similar solutions for the anisotropic affine curve shortening problem

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-010-0375-6 ◽

2010 ◽

Vol 41 (3-4) ◽

pp. 535-565 ◽

Author(s):

Meiyue Jiang ◽

Liping Wang ◽

Juncheng Wei

Keyword(s):

Self Similar ◽

Curve Shortening ◽

Similar Solutions ◽

Curve Shortening Problem

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The curve shortening problem associated to a density

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-016-0995-6 ◽

2016 ◽

Vol 55 (3) ◽

Author(s):

Vicente Miquel ◽

Francisco Viñado-Lereu

Keyword(s):

Curve Shortening ◽

Curve Shortening Problem

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$2\pi$-Periodic self-similar solutions for the anisotropic affine curve shortening problem II

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016.36.785 ◽

2015 ◽

Vol 36 (2) ◽

pp. 785-803 ◽

Author(s):

Meiyue Jiang ◽

Juncheng Wei

Keyword(s):

Self Similar ◽

Curve Shortening ◽

Similar Solutions ◽

Curve Shortening Problem

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The stability of m-fold circles in the curve shortening problem

manuscripta mathematica ◽

10.1007/s00229-010-0410-0 ◽

2010 ◽

Vol 134 (3-4) ◽

pp. 493-511 ◽

Author(s):

Xiao-Liu Wang

Keyword(s):

Curve Shortening ◽

The Stability ◽

Curve Shortening Problem

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On the uniqueness of stable ultimate shapes for the anisotropic curve-shortening problem

manuscripta mathematica ◽

10.1007/s002291020101 ◽

2000 ◽

Vol 102 (1) ◽

pp. 101-110 ◽

Author(s):

Kai-Seng Chou ◽

Liqun Zhang

Keyword(s):

Curve Shortening ◽

Curve Shortening Problem

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The curve shortening problem under Robin boundary condition

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-011-0123-4 ◽

2011 ◽

Vol 19 (2) ◽

pp. 177-194

Author(s):

Kai-Seng Chou ◽

Xiao-Liu Wang

Keyword(s):

Boundary Condition ◽

Robin Boundary Condition ◽

Curve Shortening ◽

Curve Shortening Problem ◽

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General initial data for a class of parabolic equations including the curve shortening problem

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020157 ◽

2020 ◽

Vol 40 (5) ◽

pp. 2963-2986

Author(s):

Kai-Seng Chou ◽

◽

Ying-Chuen Kwong ◽

Keyword(s):

Initial Data ◽

Parabolic Equations ◽

General Initial Data ◽

Curve Shortening ◽

Curve Shortening Problem

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Self-similar solutions for the anisotropic affine curve shortening problem

Calculus of Variations and Partial Differential Equations ◽

10.1007/s005260000075 ◽

2001 ◽

Vol 13 (3) ◽

pp. 311-337 ◽

Author(s):

Jun Ai ◽

Kai-Seng Chou ◽

Juncheng Wei

Keyword(s):

Self Similar ◽

Curve Shortening ◽

Similar Solutions ◽

Curve Shortening Problem

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